Pascal J. Thomas

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20242026

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math.CV2025

Optimal bounds for the Kobayashi distance near $C^{2}$ -smooth boundary points

Nikolai Nikolov, Pascal J. Thomas

It is shown that the optimal upper and lower bounds for the Kobayashi distance near $C^{2, α}$ -smooth strongly pseudoconvex boundary points obtained in L. Kosinski, N. Niko…

math.CV2025

Removable sets for pseudoconvexity for weakly smooth boundaries

Quang Dieu Nguyen, Pascal J. Thomas

We show that for bounded domains in $C^{n}$ with $C^{1, 1}$ smooth boundary, if there is a closed set $F$ of $2 n - 1$ -Lebesgue measure $0$ such that $\partial Ω\setminu…

math.CV2025

Quasi Triangle Inequality for the Lempert function

Nikolai Nikolov, Pascal J. Thomas

The (unbounded version of the) Lempert function $l_{D}$ on a domain $D \subset C^{d}$ does not usually satisfy the triangle inequality, but on bounded $C^{2}$ -smooth strictly…

Optimal bounds for the Kobayashi distance near C2-smooth boundary points

Removable sets for pseudoconvexity for weakly smooth boundaries

Quasi Triangle Inequality for the Lempert function

Optimal bounds for the Kobayashi distance near $C^{2}$ -smooth boundary points